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HW Exponential Growth & Decay
By Marissa Considine
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Last updated almost 3 years ago
18 questions
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Question 1
1.
Question 2
2.
Round to the nearest hundredth (2 decimal places).
Use mg as your units.
Question 3
3.
Round to the nearest hundredth (cent - 2 decimal places).
Use $
Question 4
4.
A snowman weighs 108 lbs, but is losing 15% of its weight each day as it melts.
Does this represent growth or decay?
Question 5
5.
A snowman weighs 108 lbs, but is losing 15% of its weight each day.
What is the growth or decay
rate
for this snowman?
Question 6
6.
A snowman weighs 108 lbs, but is losing 15% of its weight each day.
What is the growth or decay
factor
for this snowman?
Question 7
7.
A snowman weighs 108 lbs, but is losing 15% of its weight each day.
Write a function to represent the weight, W, of the snowman as a function of t in days.
Write your answer as W(t)=
Question 8
8.
A snowman weighs 108 lbs, but is losing 15% of its weight each day.
How many pounds does the snowman weigh after 4 days?
Round to the nearest tenth.
Question 9
9.
The median home price in Carlsbad in 2022 was $997,000. In 2021 it was $914,679.
What is the
growth rate
that homes are increasing by?
Round your answer to the nearest whole percent.
Hint: divide
Question 10
10.
The median home price in Carlsbad in 2022 was $997,000. In 2021 it was $914,679.
Estimate the median home price in 2026.
Use the growth rate you found in the previous problem.
Round to the nearest whole dollar.
Question 11
11.
$
Question 12
12.
Question 13
13.
Question 14
14.
Round to the nearest cent (2 decimal places).
Question 15
15.
Categorize each as exponential growth or exponential decay.
f(t)=100(1+.02)^t
f(t)=5,000(0.89)^t
Question 16
16.
Review from last class!
What is the equation of the horizontal asymptote?
Question 17
17.
visibility
View drawing
Question 18
18.
What is the y-intercept?
f(t)=32(1.23)^t
A $85,000 Mustang depreciates over the course of 12 years.
f(t)=9(1-.80)^t
A $450,000 house now costs $493,000.
Exponential Growth
Exponential Decay
Select the transformations this graph has from the parent function y=(1/2)^x.
Then click 'show your work' and graph it!
You can also graph it on graph paper & upload a picture.
1 unit right
vertical stretch by 2 (multiply y-values by 2)
2 units up
3 units right
1 unit left
3 units up